The word "not countenances" means to disapprove or reject. The antonyms for this term could be "approve," "endorse," "support," "favor," "back," or "encourage." Some other possible antonyms include "welcome," "embrace," "accept," "endorse," "sanction," "legitimize," and "cherish." When someone does not countenance something, they are expressing their aversion or opposition to it. On the other hand, when someone approves of something, they are expressing their support and agreement with it. It is important to consider the context in which these antonyms are used to understand their full meaning and significance.